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arxiv: 1406.0273 · v2 · pith:WJMKWWQOnew · submitted 2014-06-02 · 🌀 gr-qc

Deformation of the Wheeler-DeWitt Equation

classification 🌀 gr-qc
keywords canonicalcommutationmodifiedquantizedrelationseconddeformationequation
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In this paper, we will analyse the consequences of deforming the canonical commutation relations consistent with the existence of a minimum length and a maximum momentum. We first generalize the deformation of first quantized canonical commutation relation to second quantized canonical commutation relation. Thus, we arrive at a modified version of second quantization. A modified Wheeler-DeWitt equation will be constructed by using this deformed second quantized canonical commutation relation. Finally, we demonstrate that in this modified theory the big bang singularity gets naturally avoided.

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